考虑地形效应的群桩竖向动力阻抗 English Version
Vertical dynamic impedance of pile group considering topography effects
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摘要: 基于哈密顿最小作用量原理,推导单桩竖向阻抗理论公式,考虑振动波传播的方向性差异提出合理的斜坡双桩相互作用因子计算方法,最后结合承台变形协调条件和力学平衡方程获得群桩竖向阻抗。开展参数分析,研究了不同桩长径比、桩-土刚度比、不同桩间距条件下相互作用因子和群桩动阻抗。结果表明,相互作用因子和群桩动阻抗随频率的变化规律具有明显的波动特征,地形效应对群桩阻抗的影响强弱依赖于频率,在特定频率处,地形效应较为显著,且陡坡、长桩、硬土中的群桩动阻抗与平地群桩差异更为明显,忽略地形效应可能会给斜坡群桩动阻抗计算结果带来较大的误差。Abstract: In this study, theoretical equations of vertical impedance for single piles are deduced based on Hamilton’s principle. Reasonable calculation method for pile-to-pile interaction is proposed considering the vibration difference with respect to propagation direction. Finally, the impedance of pile group is solved by combining the deformation coordination condition and mechanical equilibrium of piles and cap. Parameter studies are carried out to investigate the topography effects on the dynamic impedance of pile group in sloping ground with various pile slenderness ratio, pile-soil modulus ratio and pile spacing. The results show that interaction factor and pile group impedance fluctuate a lot with frequency. The extent of topography effects depends on frequency and could be significant at specific frequencies The difference between the impedances for the pile groups in sloping ground and horizontal ground increases as slope angle, pile length, and soil stiffness increases, which indicates that neglecting topography effects may bring considerable error to dynamic impedance of pile group in slope.
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Keywords:
- pile group /
- dynamic impedance /
- interaction factor /
- theoretical solution /
- topography effects
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